GCD of 705, 796, 169, 712 Calculator

Given Input numbers are 705, 796, 169, 712

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 705, 796, 169, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 796, 169, 712 is 1.

Therefore, GCD of numbers 705, 796, 169, 712 is 1

Given Input Data is 705, 796, 169, 712

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 169 is 13 x 13

Prime Factorization of 712 is 2 x 2 x 2 x 89

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(705, 796) = 561180

GCD(705, 796) = ( 705 x 796 ) / 561180

GCD(705, 796) = 561180 / 561180

GCD(705, 796) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 705, 796, 169, 712 is 1

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1. What is the GCD of 705, 796, 169, 712?

GCD of 705, 796, 169, 712 is 1

2. Where do I get the detailed procedure to find GCD of 705, 796, 169, 712?

You can find a detailed procedure to find GCD of 705, 796, 169, 712 on our page.

3. How to find GCD of 705, 796, 169, 712 on a calculator?

You can find the GCD of 705, 796, 169, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.